Question

Select all the equations which, when graphed, will be a parabola.(2 points)
Responses

y=−4x^2


y=16x+6


y=2^x


y=8x


y=(−9)^x


y=6x^2

Answer 1

The equations that will graph as parabolas are those that are in the form \( y = ax^2 + bx + c \), where \( a \neq 0 \).

From the provided options, the following equations represent parabolas:

1. \( y = -4x^2 \) (This is a downward-opening parabola)
2. \( y = 6x^2 \) (This is an upward-opening parabola)

The remaining equations \( y = 16x + 6 \) (linear), \( y = 2^x \) (exponential), \( y = 8x \) (linear), and \( y = (-9)^x \) (exponential) do not represent parabolas.

So, the equations that will graph as parabolas are:

- \( y = -4x^2 \)
- \( y = 6x^2 \)